VELOCITY-VORTICITY FORMULATION WITH VORTEX PARTICLE-IN-CELL METHOD FOR INCOMPRESSIBLE VISCOUS FLOW SIMULATION, PART II: APPLICATION TO VORTEX WALL INTERACTIONS

Abstract

The vortex particle-in-cell method for computing two-dimensional viscous flows [1] is applied to problems where an unsteady boundary layer develops under the impact of a vortex dipole. The results show the induced boundary layer greatly alters the interaction from the inviscid case, with partial ejection of the induced boundary layer interacting with the primary, impinging vorticity. In the case of normal impingement of a vortex dipole on a wall, comparison of the computation results is made with the experimental and numerical literature at a Reynolds number of 900. The comparisons give good agreement, even for long time behavior. For an oblique impact two approach angles, 45 and 75 are studied. It is shown that the asymmetrical development of the secondary vortex produces different interaction phenomena than those that take place with normal impingement.